What is the Least Common Multiple of 87538 and 87546?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 87538 and 87546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87538 and 87546, than apply into the LCM equation.

GCF(87538,87546) = 2
LCM(87538,87546) = ( 87538 × 87546) / 2
LCM(87538,87546) = 7663601748 / 2
LCM(87538,87546) = 3831800874

Least Common Multiple (LCM) of 87538 and 87546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87538 and 87546. First we will calculate the prime factors of 87538 and 87546.

Prime Factorization of 87538

Prime Factorization of 87546

Now multiplying the highest exponent prime factors to calculate the LCM of 87538 and 87546.

LCM(87538,87546) = 2¹ × 11¹ × 23¹ × 173¹ × 3¹ × 14591¹
LCM(87538,87546) = 3831800874